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Finding the Fourth Proportional to 26,107.35, 39,156 and 7,382.85

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Solution

The fourth proportional to 26,107.35, 39,156 and 7,382.85 is: 11,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,107.35 : 39,156 = 7,382.85 : x
  2. Step 2: Convert to fraction form
    26,107.35/39,156 = 7,382.85/x
  3. Step 3: Cross multiply
    26,107.35x = 39,156 × 7,382.85
  4. Step 4: Simplify right side
    26,107.35x = 289,082,874.60
  5. Step 5: Solve for x
    x = 289,082,874.60/26,107.35
  6. Step 6: Final answer
    x = 11,072.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.